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Finding the Fourth Proportional to 5,569.62, 8,358.42 and 4,112.70

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Solution

The fourth proportional to 5,569.62, 8,358.42 and 4,112.70 is: 6,172.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,569.62 : 8,358.42 = 4,112.70 : x
  2. Step 2: Convert to fraction form
    5,569.62/8,358.42 = 4,112.70/x
  3. Step 3: Cross multiply
    5,569.62x = 8,358.42 × 4,112.70
  4. Step 4: Simplify right side
    5,569.62x = 34,375,673.93
  5. Step 5: Solve for x
    x = 34,375,673.93/5,569.62
  6. Step 6: Final answer
    x = 6,172.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.